The magnetic moments associated with two closely wound circular coils $A$ and $B$ of radius $r_A = 10 \ cm$ and $r_B = 20 \ cm$ respectively are equal. If $N_A, I_A$ and $N_B, I_B$ are the number of turns and current of $A$ and $B$ respectively,then which of the following relations is correct?
- A$2 \ N_A I_A = N_B I_B$
- B$N_A = 2 \ N_B$
- C$N_A I_A = 4 \ N_B I_B$
- D$4 \ N_A I_A = N_B I_B$
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